An Aeronautical Engineering degree can open MANY doors for employment. besides the obvious employers like Airbus, Boeing, CFM, GE, and Pratt & Whitney, there are military contractors and a plethora of subcontractors. There is also the burgeoning space industry, repair and refurbishment shops, and conversion shops. All of them require Aeronautical Engineers -- either generalists or specialists in airframes, powerplants, avionics, CAD/CAM, or Computational Fluid Dynamics.
Many non-aviation firms will also hire Aeronautical Engineers. The most obvious is the auto industry, where aerodynamics is becoming more important every year. Mfgrs of windmills also need them. Since Aero is simply a specialization of Engineering, you may find a job that requires only a general engineering education...
You're not too old at 33 -- you have 40+ productive years ahead of you!